We may associate to each singular locus \({\cal I}_a\)  a value \(\Delta _a^{\mathrm {sing}}\)  which is the degree of homogeneity of the polynomial specifying the stratum, e.g. for unknotted strata \({\Delta }^{\rm sing}\equiv {\Delta }_{u_i}\) . Each singular locus can host a rank-one theory, either conformal or IR-free. The full set of conformal rank-one theories is known [1]}, [2]}, [3]}, [4]}, and since we will make heavy use of them we include the relevant data in Table REF . On the other hand, the full set of IR-free rank-one theories is infinite, but each such theory takes the form of \(U(1)\)  or \(SU(2)\)  gauge theory coupled to sufficient numbers of hypermultiplets in arbitrary representations. In practice, when we implement this algorithm on a computer it is necessary to restrict to a finite subset of these IR-free theories. The particular subset which we choose is discussed in Appendix . We believe this to be a well-motivated representative sample of the full space of IR-free theories.
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